- 作者: 許世雄;劉國傳
- 作者服務機構: Institute of Applied Mathematics National Tsing Hua University Hsinchu, Taiwan Republic of China
- 中文摘要: 一參數最大可能估計量之二級效率已有Ghosh及Subramanym等人討論過,本文討論二參數之情形。我們求得一致估 計量以及最大可能估計量之漸近展開式,從而獲得Fisher-Rao定理以及Rao定理之證明。本文並且?明從一參數推廣至二 參數計算相當複雜。
- 英文摘要: In a paper of Ghosh and Subramanyam, the second order efficiency of maximum likelihood estimators of one parameter was discussed. This paper deals with the two-parameter case. The asymptotic expansions of consistent estimators as well as maximum likelihood estimators are derived. Our proofs of Fisher-Rao's theorem and Rao's theorem show that the extension is unusually complicated.
- 中文關鍵字: --
- 英文關鍵字: --